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Finding the Third Proportional to 152,199 and 330,637.50

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Solution

The third proportional to 152,199 and 330,637.50 is: 718,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,199 : 330,637.50 = 330,637.50 : x
  2. Step 2: Convert to fraction form
    152,199/330,637.50 = 330,637.50/x
  3. Step 3: Cross multiply
    152,199x = 330,637.50 × 330,637.50
  4. Step 4: Simplify right side
    152,199x = 109,321,156,406.25
  5. Step 5: Solve for x
    x = 109,321,156,406.25/152,199
  6. Step 6: Final answer
    x = 718,277.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.